On a Feller–Jajte strong law of large numbers

Fakhreddine Boukhari

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 18, 6218-6226

Abstract: We investigate the asymptotic behavior of a large class of summability methods introduced by Jajte. Using martingale tools, we prove strong laws of large numbers for a family of random variables whose tails of distributions are subject to some restrictions. Our results complement those of Naderi et al. (Communications in Statistics - Theory and Methods 48: 5414–18, 2018) and Miao et al. (Communications in Statistics - Theory and Methods 49 (6):1435–45, 2020).

Date: 2022
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DOI: 10.1080/03610926.2020.1858102

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